A. Lyoubi-Idrissi | I-Field Laboratory -

The Irreversibility Field (I-Field):A Classical Framework for Fundamental Irreversibility in Physics

 We present the I-field: a classical scalar field minimally coupled to matter whose equation of motion contains an explicit time-asymmetric dissipation term, derived from the Euler-Lagrange-Rayleigh (ELR) formalism [@rayleigh1877]. The field does not modify the gravitational sector: Einstein's field equations are unchanged, and the total stress-energy tensor of matter plus I-field is covariantly conserved. In the limit $\gamma \to 0$ the theory reduces exactly to standard classical field theory.  The dissipation term $\gamma u^\mu \partial_\mu \mathcal{I}$, where $u^\mu$ is the four-velocity of the cosmological rest frame and $\gamma > 0$ is a coupling constant, is odd under time reversal while every term derived from a Lagrangian is even. This explicit breaking of time-reversal symmetry at the level of the field equation --- rather than through boundary conditions or statistical postulates --- has three consequences derived as theorems within the framework:   1. The I-field carries a covariant entropy production density   $\sigma_{\mathcal{I}} = \gamma\dot{\mathcal{I}}^2 \geq 0$   pointwise, establishing the second law of thermodynamics as   a field-theoretic identity rather than a postulate.     2. The energy transferred from matter to the I-field is strictly   non-negative, providing a microscopic account of dissipation   without invoking a heat bath or environment.     3. The preferred time direction is globally well-defined,   identified with the cosmological rest frame in which the   cosmic microwave background is isotropic [@fixsen2009].     The theory is self-contained and makes no modifications to the gravitational sector. The framework provides a minimal, classical extension of standard field theory in which irreversibility is fundamental rather than

Spacetime Crystals & Microscopic Black Holes

Discover how physicists used infinite-dimensional mathematics to prove that microscopic black holes can form from unstable spacetime crystals.

New mathematical model could explain why some wounds heal faster than others

Understanding how wounds heal after injury could be a step closer thanks to a new mathematical model

Physicist Proposes Dark Matter Is Made of Black Holes That Survived Dead Universes

Dark matter could be made of "relic" black holes that survived the collapse of previous universes, a new model proposes.